Finding the Third Proportional to 10,780 and 14,490

Step by Step Solution

1. Step 1: Write the proportion equation
   10,780 : 14,490 = 14,490 : x
2. Step 2: Convert to fraction form
   10,780/14,490 = 14,490/x
3. Step 3: Cross multiply
   10,780x = 14,490 × 14,490
4. Step 4: Simplify right side
   10,780x = 209,960,100
5. Step 5: Solve for x
   x = 209,960,100/10,780
6. Step 6: Final answer
   x = 19,476.82